151790418720 has 768 divisors, whose sum is σ = 590722191360. Its totient is φ = 36229939200.

The previous prime is 151790418707. The next prime is 151790418761. The reversal of 151790418720 is 27814097151.

It is a happy number.

151790418720 is a `hidden beast` number, since 1 + 517 + 90 + 41 + 8 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138874494 + ... + 138875586.

It is an arithmetic number, because the mean of its divisors is an integer number (769169520).

Almost surely, 2^151790418720 is an apocalyptic number.

151790418720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151790418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295361095680).

151790418720 is an abundant number, since it is smaller than the sum of its proper divisors (438931772640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151790418720 is a wasteful number, since it uses less digits than its factorization.

151790418720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 151790418720 in words is "one hundred fifty-one billion, seven hundred ninety million, four hundred eighteen thousand, seven hundred twenty".